GCF of 8558/451, 4738/6175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8558/451, 4738/6175 i.e 2/2784925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8558/451, 4738/6175.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8558/451,4738/6175?
Given fractions are 8558/451,4738/6175
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8558/451,4738/6175, numerators are 8558,4738
Denominators are 451,6175
The GCF of 8558,4738 is 2 .
LCM of 451,6175 is 2784925.
The greatest common factor of 8558/451,4738/6175 = [GCF of 8558,4738]/[LCM of 451,6175]= 2/2784925
Therefore, the GCF of 8558/451,4738/6175 is 2/2784925.
To find the highest common factor of 8558,4738, we have to find the factors of both numbers and list the highest common factor.
The factors of 8558 are 1, 2, 11, 22, 389, 778, 4279, 8558
The factors of 4738 are 1, 2, 23, 46, 103, 206, 2369, 4738
The HCF of 8558,4738 is 2.
Lets's calculate GCF of 8558,4738
| 2 | 8558, 4738 |
| 4279, 2369 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8558,4738 By Matching Biggest Common Factor Method
Now, list down the factors of 8558
:1,2,11,22,389,778,4279,8558
Now, list down the factors of 4738
:1,2,23,46,103,206,2369,4738
Greatest Common Factor
We found the factors 8558,4738 . The biggest common factor number is the GCF number.
So the greatest common factor 8558,4738 is 2.
Lets's calculate LCM of 451,6175
Given numbers has no common factors except 1. So, there LCM is their product i.e 2784925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2784925
Therefore, the GCF of Fractions 8558/451,4738/6175 is 2/2784925
Least Common Multiple of 451,6175 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 451,6175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,6175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,6175) x common factors =1 x 1 = 1
LCM(451,6175) = ( 451 × 6175 ) / 1
LCM(451,6175) = 2784925 / 1
LCM(451,6175) = 2784925
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FAQs on GCF of Fractions of 8558/451, 4738/6175
1. What is the HCF of 8558,4738?
The HCF of 8558,4738 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8558/451, 4738/6175?
Answer: GCF of Numerators as per given numbers 8558/451, 4738/6175 is
GCF of Numerators i.e. for 8558,4738 is 2
LCM of denominators i.e. for 451,6175 is 2784925.
Thus, GCF of Fractions is 2/2784925.Finally, GCF of Fractions for 8558/451, 4738/6175 is 2/2784925.